Solve 95/16-27/13=

$$9 \frac { 5 } { 16 } - 2 \frac { 7 } { 13 } =$$

Evaluate

$$\frac{1409}{208}\approx 6.774038462$$

Solution Steps

Multiply 9 and 16 to get 144.

$$\frac{144+5}{16}-\frac{2\times 13+7}{13}$$

Add 144 and 5 to get 149.

$$\frac{149}{16}-\frac{2\times 13+7}{13}$$

Multiply 2 and 13 to get 26.

$$\frac{149}{16}-\frac{26+7}{13}$$

Add 26 and 7 to get 33.

$$\frac{149}{16}-\frac{33}{13}$$

Least common multiple of 16 and 13 is 208. Convert \frac{149}{16} and \frac{33}{13} to fractions with denominator 208.

$$\frac{1937}{208}-\frac{528}{208}$$

Since \frac{1937}{208} and \frac{528}{208} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1937-528}{208}$$

Subtract 528 from 1937 to get 1409.

$$\frac{1409}{208}$$

Factor

$$\frac{1409}{2 ^ {4} \cdot 13} = 6\frac{161}{208} = 6.774038461538462$$